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A rectangular grassy plot is 112m by 78m. If has a gravel path 2.5m wide all round on the inside. Find the area of the path and the cost of constructing it at Rs. 2 per square metre?

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923sq. m, Rs. 1846

925sq. m, Rs. 1850

940sq. m, Rs. 1880

None

answer is B.

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Detailed Solution

It is given that length of plot is 112m and its breadth is 78m.
We know that area of rectangle = length×breadth.
Therefore,
Area of plot = 112×78
=8736

m^{2}

Now after forming the path the length of remaining plot l
=112-2(2.5)
=108m
Breadth b=78-2(2.5)

\Rightarrow

73m
Area of remaining plot =108×73
=7811

m^{2}

Area of path =8736-7811

=

925

m^{2}

Cost of constructing =Area×rate
=925×2
=Rs1850
Hence, the correct option is 2.

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